Metal-organic frameworks (MOF(n)) are organic-inorganic hybrid crystalline porous materials that consist of a regular array of positively charged metal ions surrounded by organic ‘linker’ molecules. The metal ions form nodes that bind the arms of the linkers together to form a repeating, cage-like structure. Moreover, in a chemical structure or molecular graph, edges and vertices are known as bonds and atoms, respectively. Metric dimension being a subsets of atoms with minimum cardinality is used in the substrcturing of the chemical compounds in the molecular structures. Fractional metric dimension is weighted version of metric dimension that associate a numeric value to the identified subset of atoms. In this paper, we have computed the fractional metric dimension of metal organic framework (MOF(n)) for n ≡ 0( mod )2.

中文翻译：

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金属有机框架的分数度量维

金属有机骨架（MOF（n））是有机无机杂化晶体多孔材料，由规则排列的带正电的金属离子阵列构成，并被有机“连接剂”分子包围。金属离子形成节点，这些节点将接头的臂结合在一起，形成重复的笼状结构。此外，在化学结构或分子图中，边缘和顶点分别称为键和原子。公制尺寸是具有最小基数的原子的子集，用于分子结构中化学化合物的结构化。分数度量维是度量维的加权版本，它将数值与已标识的原子子集相关联。在本文中，我们计算了n≡0（mod）2时金属有机骨架的分数度量尺寸（MOF（n））。